Existence of Positive Periodic Solutions for the Predator-Prey Difference System with Beddington-DeAngelis Functional Response and Time Delays |
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| Authors: | WANG Lie CHEN Si-yang |
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| Institution: | 1. College of Science, Northwestern Polytechnic University, Xi＇an 710072, China;2 College of Mathematic and Information Science, Shaanxi Normal University, Xi＇an 710062, China) |
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| Abstract: | A nonautonomous predator-prey difference model with Beddington-DeAngelis functional response,diffusion,and time delays is investigated.The model consists of n competing preys and one predator,and the predator and one prey are confined to one patch.First,concepts and results concerning the continuation theorem of coincidence degree are summarized.Then,a system of algebraic equations is proved to have a unique solution.Finally.the sufficient conditions for the existence of a difference system are established.The result is substantiated through numerical simulation. |
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| Keywords: | Predator-pray system Positive periodic solution Difference equation |
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